Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays

Mingxuan SHEN; Chen FEI; Weiyin FEI; Xuerong MAO

doi:10.1007/s11432-018-9755-7

SCIENCE CHINA Information Sciences

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SCIENCE CHINA Information Sciences, Volume 62 , Issue 10 : 202205(2019) https://doi.org/10.1007/s11432-018-9755-7

Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays

Mingxuan SHEN ^1,3, Chen FEI ², Weiyin FEI ^3,*, Xuerong MAO ⁴

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Affiliations：

1. School of Science, Nanjing University of Science and Technology, Nanjing 210094, China

2. Glorious Sun School of Business and Management, Donghua University, Shanghai 200051, China

3. School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China

4. Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK

* Corresponding author (wyfei@ahpu.edu.cn)

ReceivedNov 8, 2018
AcceptedDec 12, 2018
PublishedAug 16, 2019

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Abstract

highly nonlinear

multiple delays

neutral stochastic systems

hybrid delay systems

Acknowledgment

This work was supported by National Natural Science Foundation of China (Grant Nos. 71571001, 71873002), Natural Science Foundation of Universities of Anhui Province (Grant No. KJ2018A0119), and Promoting Plan of Higher Education of Anhui Province (Grant No. TSKJ2016B11).

References

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Figure 1
Computer simulation of the stochastic trajectories of the Markov chain and the NSDDE (30).
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Figure 2
Computer simulation of the sample paths of the Markov chain and the NSDDE (31).
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Figure 3
Computer simulation of the sample paths of the Markov chain and the NSDDE (32).

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Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays

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